I apologize in advance if this is off topic for Meta but I couldn't find a good place to ask this.

Say I want to join and discuss sensitive topics on e.g http://islam.stackexchange.com/ and still stay completely anonymous. Wouldn't this be impossible of anyone could see my other accounts on other SE sites. Where I might tell more about my self, where I work and so on?

Is it possible to hide your other accounts on your Stack Exchange account page? Should it be possible or even the default option?

I understand the idea of having your accounts on SO and Meta connected. But what is the main reason of having every one of your SE accounts connected?

As far as I'm aware, this is not possible. But you can start a new account specifically for those sites where you want to be anonymous. You are not obliged to associate accounts.
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BartOct 10 '12 at 13:04